Greatest Common Factor of 5317/806, 6344/9614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5317/806, 6344/9614

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 5317/806,6344/9614

Given fractions are 5317/806,6344/9614

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 5317,6344

Greatest Common Factor of Numerators i.e. GCF of 5317,6344 is 13 .

LCM of Denominators means LCM of 806,9614 as per the given fractions.

LCM of 806,9614 is 3874442 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5317,6344

GCF of Fractions 5317/806,6344/9614 is 13/3874442

13 5317, 6344
409, 488

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 5317,6344 By Matching Biggest Common Factor Method

Greatest Common Factor of 5317,6344 By Matching Biggest Common Factor Method

Factors of 5317

List of positive integer factors of 5317 that divides 5317 without a remainder.

1,13,409,5317

Factors of 6344

List of positive integer factors of 6344 that divides 6344 without a remainder.

1,2,4,8,13,26,52,61,104,122,244,488,793,1586,3172,6344

Greatest Common Factor

We found the factors 5317,6344 . The biggest common factor number is the GCF number.
So the greatest common factor 5317,6344 is 13.

Lets's calculate LCM of 806,9614

2 806, 9614
403, 4807

∴ So the LCM of the given numbers is 2 x 403 x 4807 = 3874442

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3874442

Therefore, the GCF of Fractions 5317/806,6344/9614 is 13/3874442

Least Common Multiple of 806,9614 with GCF Formula

Least Common Multiple of 806,9614 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 806,9614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,9614) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(806,9614) x common factors =2 x 1 = 2

LCM(806,9614) = ( 806 × 9614 ) / 2

LCM(806,9614) = 7748884 / 2

LCM(806,9614) = 3874442


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5317/806, 6344/9614

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 5317/806, 6344/9614?

Answer: GCF of Numerators as per given numbers 5317/806, 6344/9614 is

GCF of Numerators i.e. for 5317,6344 is 13

LCM of denominators i.e. for 806,9614 is 3874442.

Thus, GCF of Fractions is 13/3874442.Finally, GCF of Fractions for 5317/806, 6344/9614 is 13/3874442.